%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL101-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:57:51 PM UTC 2026
% Result : Unsatisfiable 1.82s 2.10s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of clauses : 19 ( 14 unt; 0 nHn; 6 RR)
% Number of literals : 25 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_p_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(lg_2,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X7)),equivalent(X4,X7)),X6),X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X15)),equivalent(X13,X15)),X14))
| is_a_theorem(X14) ),
inference(resolution,[status(thm)],[lg_2,condensed_detachment]) ).
cnf(p_4,axiom,
is_a_theorem(equivalent(X9,equivalent(equivalent(equivalent(equivalent(X8,X11),equivalent(X8,X10)),equivalent(X11,X10)),X9))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X20,X21),equivalent(X20,X25)),equivalent(X21,X25)),equivalent(equivalent(equivalent(X24,X23),equivalent(X24,X22)),equivalent(X23,X22)))),
inference(resolution,[status(thm)],[c0,p_4]) ).
cnf(c6,plain,
is_a_theorem(equivalent(equivalent(equivalent(X28,X26),equivalent(X28,X27)),equivalent(X26,X27))),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(c9,plain,
( ~ is_a_theorem(equivalent(equivalent(X29,X30),equivalent(X29,X31)))
| is_a_theorem(equivalent(X30,X31)) ),
inference(resolution,[status(thm)],[c6,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X18)
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X16,X19),equivalent(X16,X17)),equivalent(X19,X17)),X18)) ),
inference(resolution,[status(thm)],[p_4,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(equivalent(equivalent(X32,X33),equivalent(X32,X33))),
inference(resolution,[status(thm)],[c9,c2]) ).
cnf(c16,plain,
is_a_theorem(equivalent(X34,X34)),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(c17,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X67,X68),equivalent(X67,X70)),equivalent(X68,X70)),equivalent(X69,X69))),
inference(resolution,[status(thm)],[c16,c1]) ).
cnf(c32,plain,
is_a_theorem(equivalent(equivalent(X74,X72),equivalent(equivalent(X73,X74),equivalent(X73,X72)))),
inference(resolution,[status(thm)],[c17,c9]) ).
cnf(c34,plain,
is_a_theorem(equivalent(equivalent(X111,equivalent(equivalent(X112,X114),equivalent(X112,X113))),equivalent(X111,equivalent(X114,X113)))),
inference(resolution,[status(thm)],[c32,c0]) ).
cnf(c56,plain,
( ~ is_a_theorem(equivalent(X156,equivalent(equivalent(X155,X158),equivalent(X155,X157))))
| is_a_theorem(equivalent(X156,equivalent(X158,X157))) ),
inference(resolution,[status(thm)],[c34,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X55,X56),equivalent(X55,X53)),equivalent(X56,X53)),equivalent(X57,equivalent(equivalent(equivalent(equivalent(X52,X54),equivalent(X52,X58)),equivalent(X54,X58)),X57)))),
inference(resolution,[status(thm)],[c1,p_4]) ).
cnf(c28,plain,
is_a_theorem(equivalent(equivalent(X262,X264),equivalent(equivalent(equivalent(equivalent(X260,X263),equivalent(X260,X265)),equivalent(X263,X265)),equivalent(equivalent(X261,X262),equivalent(X261,X264))))),
inference(resolution,[status(thm)],[c4,c9]) ).
cnf(c172,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1866,X1863),X1865),equivalent(equivalent(X1864,X1863),equivalent(equivalent(X1866,X1864),X1865)))),
inference(resolution,[status(thm)],[c28,c56]) ).
cnf(c2646,plain,
$false,
inference(resolution,[status(thm)],[c172,prove_p_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL101-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Sep 4 15:28:28 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.24/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.24/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.34/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.58 """
% 1.82/2.10 % Version: 1.5
% 1.82/2.10 % SZS status Unsatisfiable
% 1.82/2.10 % SZS output start CNFRefutation
% See solution above
% 1.82/2.10
% 1.82/2.10 % Initial clauses : 4
% 1.82/2.10 % Processed clauses : 152
% 1.82/2.10 % Factors computed : 0
% 1.82/2.10 % Resolvents computed: 2659
% 1.82/2.10 % Tautologies deleted: 2
% 1.82/2.10 % Forward subsumed : 482
% 1.82/2.10 % Backward subsumed : 1
% 1.82/2.10 % -------- CPU Time ---------
% 1.82/2.10 % User time : 1.715 s
% 1.82/2.10 % System time : 0.027 s
% 1.82/2.10 % Total time : 1.742 s
%------------------------------------------------------------------------------